Inhomogeneous quantum quenches
Inhomogeneous quantum quenches
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非均匀量子淬灭
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
J. Cardy
中科院分区：
文献类型：
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作者：
S. Sotiriadis;J. Cardy
我们研究了量子淬火的问题，其中的初始状态是基态的非均匀的哈密顿量，在两个不同的模型，共形场理论和普通的自由场理论，这是已知的表现出热化的有限区域在均匀的情况下。我们推导出一般表达式的演化的能量流和相关函数，以及纠缠熵的共形的情况下。从两种方法在其共同的有效性制度的结果进行比较，显示出进一步讨论的一个点的协议。与热模拟不同，我们的问题中的演化是非扩散的，并且可以使用从初始时间超曲面发射并半经典传播的准粒子的直观图像进行物理解释。
We study the problem of a quantum quench in which the initial state is the ground state of an inhomogeneous Hamiltonian, in two different models, conformal field theory and ordinary free field theory, which are known to exhibit thermalization of finite regions in the homogeneous case. We derive general expressions for the evolution of the energy flow and correlation functions, as well as the entanglement entropy in the conformal case. Comparison of the results from the two approaches in the regime of their common validity shows agreement up to a point further discussed. Unlike for the thermal analogue, the evolution in our problem is non-diffusive and can be physically interpreted using an intuitive picture of quasiparticles emitted from the initial time hypersurface and propagating semiclassically.